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Simplifying 2y2 + 3y + 79 = y + 7y + 7 Reorder the terms: 79 + 3y + 2y2 = y + 7y + 7 Reorder the terms: 79 + 3y + 2y2 = 7 + y + 7y Combine like terms: y + 7y = 8y 79 + 3y + 2y2 = 7 + 8y Solving 79 + 3y + 2y2 = 7 + 8y Solving for variable 'y'. Reorder the terms: 79 + -7 + 3y + -8y + 2y2 = 7 + 8y + -7 + -8y Combine like terms: 79 + -7 = 72 72 + 3y + -8y + 2y2 = 7 + 8y + -7 + -8y Combine like terms: 3y + -8y = -5y 72 + -5y + 2y2 = 7 + 8y + -7 + -8y Reorder the terms: 72 + -5y + 2y2 = 7 + -7 + 8y + -8y Combine like terms: 7 + -7 = 0 72 + -5y + 2y2 = 0 + 8y + -8y 72 + -5y + 2y2 = 8y + -8y Combine like terms: 8y + -8y = 0 72 + -5y + 2y2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 36 + -2.5y + y2 = 0 Move the constant term to the right: Add '-36' to each side of the equation. 36 + -2.5y + -36 + y2 = 0 + -36 Reorder the terms: 36 + -36 + -2.5y + y2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -2.5y + y2 = 0 + -36 -2.5y + y2 = 0 + -36 Combine like terms: 0 + -36 = -36 -2.5y + y2 = -36 The y term is -2.5y. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5y + 1.5625 + y2 = -36 + 1.5625 Reorder the terms: 1.5625 + -2.5y + y2 = -36 + 1.5625 Combine like terms: -36 + 1.5625 = -34.4375 1.5625 + -2.5y + y2 = -34.4375 Factor a perfect square on the left side: (y + -1.25)(y + -1.25) = -34.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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